Information on Result #930214
Linear OOA(1685, 83, F16, 2, 60) (dual of [(83, 2), 81, 61]-NRT-code), using construction X applied to AG(2;F,67P) ⊂ AG(2;F,86P) based on
- linear OOA(1666, 64, F16, 2, 60) (dual of [(64, 2), 62, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,67P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1647, 64, F16, 2, 41) (dual of [(64, 2), 81, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,86P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1619, 19, F16, 2, 18) (dual of [(19, 2), 19, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1619, 24, F16, 2, 18) (dual of [(24, 2), 29, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,29P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(1619, 24, F16, 2, 18) (dual of [(24, 2), 29, 19]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4170, 166, F4, 2, 60) (dual of [(166, 2), 162, 61]-NRT-code) | [i] | Trace Code for OOAs | |